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Finding the Fourth Proportional to 402,124.80, 602,895.60 and 165,345.60

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Solution

The fourth proportional to 402,124.80, 602,895.60 and 165,345.60 is: 247,898.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,124.80 : 602,895.60 = 165,345.60 : x
  2. Step 2: Convert to fraction form
    402,124.80/602,895.60 = 165,345.60/x
  3. Step 3: Cross multiply
    402,124.80x = 602,895.60 × 165,345.60
  4. Step 4: Simplify right side
    402,124.80x = 99,686,134,719.36
  5. Step 5: Solve for x
    x = 99,686,134,719.36/402,124.80
  6. Step 6: Final answer
    x = 247,898.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.